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Finding the Fourth Proportional to 542,389.40, 748,447.05 and 300,651.41

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Solution

The fourth proportional to 542,389.40, 748,447.05 and 300,651.41 is: 414,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,389.40 : 748,447.05 = 300,651.41 : x
  2. Step 2: Convert to fraction form
    542,389.40/748,447.05 = 300,651.41/x
  3. Step 3: Cross multiply
    542,389.40x = 748,447.05 × 300,651.41
  4. Step 4: Simplify right side
    542,389.40x = 225,021,663,891.40
  5. Step 5: Solve for x
    x = 225,021,663,891.40/542,389.40
  6. Step 6: Final answer
    x = 414,871.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.